Dynamical Systems

Authors and titles for math.DS in Jul 2021, skipping first 150

[151]  arXiv:2107.09018 (cross-list from math.GT) [pdf, ps, other]

Title: Minimal asymptotic translation lengths on curve complexes and homology of mapping tori

Authors: Hyungryul Baik, Dongryul M. Kim, Chenxi Wu

Comments: 16 pages, 5 figures, Final version, To appear in Michigan Mathematical Journal

Subjects: Geometric Topology (math.GT); Dynamical Systems (math.DS)

[152]  arXiv:2107.09471 (cross-list from math.AP) [pdf, other]

Title: Looking at Euler flows through a contact mirror: Universality and undecidability

Authors: Robert Cardona, Eva Miranda, Daniel Peralta-Salas

Comments: 24 pages, 1 figure

Subjects: Analysis of PDEs (math.AP); Computational Complexity (cs.CC); Dynamical Systems (math.DS); Symplectic Geometry (math.SG)

[153]  arXiv:2107.09866 (cross-list from math.LO) [pdf, ps, other]

Title: A note on derivatives, expansions and $Π^1_1$-ranks

Authors: Udayan B. Darji, Felipe García-Ramos

Comments: arXiv admin note: text overlap with arXiv:2107.09263

Subjects: Logic (math.LO); Dynamical Systems (math.DS)

[154]  arXiv:2107.10310 (cross-list from math.NT) [pdf, ps, other]

Title: Iterated monodromy groups of rational functions and periodic points over finite fields

Authors: Andrew Bridy, Rafe Jones, Gregory Kelsey, Russell Lodge

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[155]  arXiv:2107.10529 (cross-list from math.PR) [pdf, ps, other]

Title: Lorentz gas with small scatterers

Authors: Péter Bálint, Henk Bruin, Dalia Terhesiu

Comments: Version accepted in Prob. Th. and Rel. Fields

Subjects: Probability (math.PR); Dynamical Systems (math.DS)

[156]  arXiv:2107.10613 (cross-list from math.OA) [pdf, ps, other]

Title: Sturmian subshifts and their C*-algebras

Authors: Kevin Aguyar Brix

Comments: 17 pages

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS)

[157]  arXiv:2107.10816 (cross-list from math.OA) [pdf, ps, other]

Title: A categorical study on the generalized type semigroup

Authors: Xin Ma

Comments: Major revision. To appear in Proceedings of AMS

Subjects: Operator Algebras (math.OA); Dynamical Systems (math.DS)

[158]  arXiv:2107.11289 (cross-list from math.AP) [pdf, other]

Title: Nonlocal cross-interaction systems on graphs: Nonquadratic Finslerian structure and nonlinear mobilities

Authors: Georg Heinze, Jan-Frederik Pietschmann, Markus Schmidtchen

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[159]  arXiv:2107.11475 (cross-list from math.OC) [pdf, ps, other]

Title: Invariant cones for semigroups and controllability of bilinear control systems

Authors: Emerson V. Castelani, João A. N. Cossich, Alexandre J. Santana, Eduardo C. Viscovini

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[160]  arXiv:2107.11554 (cross-list from math.AP) [pdf, ps, other]

Title: Ergodic problems for contact Hamilton-Jacobi equations

Authors: Kaizhi Wang, Jun Yan

Comments: 37 pages

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[161]  arXiv:2107.11560 (cross-list from math.OC) [pdf, other]

Title: A Fast Temporal Decomposition Procedure for Long-horizon Nonlinear Dynamic Programming

Authors: Sen Na, Mihai Anitescu, Mladen Kolar

Comments: 41 pages, 1 figure

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[162]  arXiv:2107.11624 (cross-list from math.CA) [pdf, other]

Title: Surprises in a classic boundary-layer problem

Authors: William A. Clark, Mario W. Gomes, Arnaldo Rodriguez-Gonzalez, Leo C. Stein, Steven H. Strogatz

Comments: 23+2 pages, 8 figures. Supplementary material available at this https URL . Version 2: Added 12 references and additional discussion. Comments welcome

Journal-ref: SIAM Review 2023 65:1, 291-315

Subjects: Classical Analysis and ODEs (math.CA); Dynamical Systems (math.DS)

[163]  arXiv:2107.11858 (cross-list from math.ST) [pdf, ps, other]

Title: Estimation of Stationary Optimal Transport Plans

Authors: Kevin O'Connor, Kevin McGoff, Andrew B Nobel

Subjects: Statistics Theory (math.ST); Dynamical Systems (math.DS); Machine Learning (stat.ML)

[164]  arXiv:2107.12056 (cross-list from math.AP) [pdf, other]

Title: Gravitational Collapse for Polytropic Gaseous Stars: Self-similar Solutions

Authors: Yan Guo, Mahir Hadzic, Juhi Jang, Matthew Schrecker

Comments: 92 pages

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[165]  arXiv:2107.12138 (cross-list from math.SG) [pdf, other]

Title: Higher systolic inequalities for 3-dimensional contact manifolds

Authors: Alberto Abbondandolo, Christian Lange, Marco Mazzucchelli

Comments: 41 pages, 1 figure; version 2: minor corrections; to appear in Journal de l'\'Ecole polytechnique - Math\'ematiques

Journal-ref: Journal de l'\'Ecole polytechnique - Math\'ematiques 9 (2022), 807-851

Subjects: Symplectic Geometry (math.SG); Differential Geometry (math.DG); Dynamical Systems (math.DS)

[166]  arXiv:2107.12510 (cross-list from math.NT) [pdf, ps, other]

Title: Higher-rank pointwise discrepancy bounds and logarithm laws for generic lattices

Authors: Seungki Kim, Mishel Skenderi

Comments: Made some corrections and changes following a referee report

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[167]  arXiv:2107.12738 (cross-list from math.PR) [pdf, ps, other]

Title: On a factorization formula for the partition function of directed polymers

Authors: Tobias Hurth, Konstantin Khanin, Beatriz Navarro Lameda, Fedor Nazarov

Comments: 32 pages

Subjects: Probability (math.PR); Dynamical Systems (math.DS)

[168]  arXiv:2107.12996 (cross-list from math.NA) [pdf, ps, other]

Title: Hamiltonian Operator Inference: Physics-preserving Learning of Reduced-order Models for Canonical Hamiltonian Systems

Authors: Harsh Sharma, Zhu Wang, Boris Kramer

Subjects: Numerical Analysis (math.NA); Dynamical Systems (math.DS)

[169]  arXiv:2107.13299 (cross-list from math.GN) [pdf, ps, other]

Title: Trees and Homogeneous LOTS

Authors: Ethan Akin, Karel Hrbacek

Subjects: General Topology (math.GN); Dynamical Systems (math.DS)

[170]  arXiv:2107.13342 (cross-list from math.PR) [pdf, ps, other]

Title: Global solutions for semilinear rough partial differential equations

Authors: Robert Hesse, Alexandra Neamtu

Comments: Preprint 15 pages

Subjects: Probability (math.PR); Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[171]  arXiv:2107.14025 (cross-list from math.NT) [pdf, ps, other]

Title: Addendum to "On triangular Billard"

Authors: Jan-Christoph Schlage-Puchta

Comments: preliminary version

Subjects: Number Theory (math.NT); Dynamical Systems (math.DS)

[172]  arXiv:2107.14187 (cross-list from math.PR) [pdf, other]

Title: Counting independent sets in amenable groups

Authors: Raimundo Briceño

Comments: Updated version (53 pages, 8 figures), accepted for publication in Ergodic Theory and Dynamical Systems

Subjects: Probability (math.PR); Mathematical Physics (math-ph); Combinatorics (math.CO); Dynamical Systems (math.DS)

[173]  arXiv:2107.14383 (cross-list from math.OC) [pdf, ps, other]

Title: Convergence analysis of the discrete consensus-based optimization algorithm with random batch interactions and heterogeneous noises

Authors: Dongnam Ko, Seung-Yeal Ha, Shi Jin, Doheon Kim

Subjects: Optimization and Control (math.OC); Dynamical Systems (math.DS)

[174]  arXiv:2107.14566 (cross-list from math.AP) [pdf, other]

Title: On small breathers of nonlinear Klein-Gordon equations via exponentially small homoclinic splitting

Authors: Otávio M. L. Gomide, Marcel Guardia, Tere M. Seara, Chongchun Zeng

Subjects: Analysis of PDEs (math.AP); Dynamical Systems (math.DS)

[175]  arXiv:2107.14645 (cross-list from math.AP) [pdf, ps, other]

Title: The Mean-Field limit for hybrid models of collective motions with chemotaxis

Authors: Roberto Natalini (IAC), Thierry Paul (LJLL (UMR\_7598))

Subjects: Analysis of PDEs (math.AP); Mathematical Physics (math-ph); Dynamical Systems (math.DS)

[176]  arXiv:2107.00979 (cross-list from quant-ph) [pdf, other]

Title: Quantum dynamics of a one degree-of-freedom Hamiltonian saddle-node bifurcation

Authors: Wenyang Lyu, Shibabrat Naik, Stephen Wiggins

Comments: 12 pages, 6 figures

Subjects: Quantum Physics (quant-ph); Dynamical Systems (math.DS); Computational Physics (physics.comp-ph)

[177]  arXiv:2107.01353 (cross-list from cs.LG) [pdf, ps, other]

Title: Spatiotemporal information conversion machine for time-series prediction

Authors: Hao Peng, Pei Chen, Rui Liu, Luonan Chen

Comments: 28 pages, 6 figures

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Dynamical Systems (math.DS)

[178]  arXiv:2107.01713 (cross-list from cs.SI) [pdf, other]

Title: A Multilayer Network Model of the Coevolution of the Spread of a Disease and Competing Opinions

Authors: Kaiyan Peng, Zheng Lu, Vanessa Lin, Michael R. Lindstrom, Christian Parkinson, Chuntian Wang, Andrea L. Bertozzi, Mason A. Porter

Subjects: Social and Information Networks (cs.SI); Dynamical Systems (math.DS); Adaptation and Self-Organizing Systems (nlin.AO); Physics and Society (physics.soc-ph); Populations and Evolution (q-bio.PE)

[179]  arXiv:2107.02241 (cross-list from nlin.AO) [pdf, other]

Title: Revealing dynamics, communities and criticality from data

Authors: Deniz Eroglu, Matteo Tanzi, Sebastian van Strien, Tiago Pereira

Comments: 13 pages. arXiv admin note: substantial text overlap with arXiv:1907.02416

Journal-ref: Phys. Rev. X 10, 021047 2020

Subjects: Adaptation and Self-Organizing Systems (nlin.AO); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD)

[180]  arXiv:2107.02303 (cross-list from cond-mat.stat-mech) [pdf, other]

Title: Generalized Gibbs ensemble of the Ablowitz-Ladik lattice, Circular $β$-ensemble and double confluent Heun equation

Authors: Tamara Grava, Guido Mazzuca

Comments: 33 pages, 1 figures. We corrected some typos, add some references and simplified some proofs

Subjects: Statistical Mechanics (cond-mat.stat-mech); Mathematical Physics (math-ph); Dynamical Systems (math.DS); Probability (math.PR); Spectral Theory (math.SP)

[181]  arXiv:2107.02422 (cross-list from cs.LG) [pdf, ps, other]

Title: Equivariant bifurcation, quadratic equivariants, and symmetry breaking for the standard representation of $S_n$

Authors: Yossi Arjevani, Michael Field

Subjects: Machine Learning (cs.LG); Dynamical Systems (math.DS); Optimization and Control (math.OC)

[182]  arXiv:2107.02835 (cross-list from q-bio.PE) [pdf, other]

Title: Pairwise Comparison Evolutionary Dynamics with Strategy-Dependent Revision Rates: Stability and Delta-Passivity (Expanded Version)

Authors: Semih Kara, Nuno C. Martins

Subjects: Populations and Evolution (q-bio.PE); Systems and Control (eess.SY); Dynamical Systems (math.DS); Optimization and Control (math.OC)

[183]  arXiv:2107.02962 (cross-list from q-bio.PE) [pdf, other]

Title: Transmission Dynamics of COVID-19 Pandemic Non-pharmaceutical Interventions and Vaccination

Authors: Bin-Guo Wang, Shunxiang Huang, Yongping Xiong, Ming-Zhen Xin, Jing LI, Jiangqian Zhang, Zhihui Ma

Subjects: Populations and Evolution (q-bio.PE); Dynamical Systems (math.DS)

[184]  arXiv:2107.03661 (cross-list from physics.flu-dyn) [pdf, other]

Title: Actively deforming porous media in an incompressible fluid: a variational approach

Authors: Tagir Farkhutdinov, François Gay-Balmaz, Vakhtang Putkaradze

Comments: 51 pages, 7 figures. arXiv admin note: text overlap with arXiv:2007.02605

Subjects: Fluid Dynamics (physics.flu-dyn); Dynamical Systems (math.DS); Chaotic Dynamics (nlin.CD)

[185]  arXiv:2107.03770 (cross-list from stat.ML) [pdf, other]

Title: Federated Learning as a Mean-Field Game

Authors: Arash Mehrjou

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Dynamical Systems (math.DS); Optimization and Control (math.OC); Probability (math.PR)

[186]  arXiv:2107.04346 (cross-list from stat.ML) [pdf, other]

Title: Generalization of the Change of Variables Formula with Applications to Residual Flows

Authors: Niklas Koenen, Marvin N. Wright, Peter Maaß, Jens Behrmann

Subjects: Machine Learning (stat.ML); Machine Learning (cs.LG); Dynamical Systems (math.DS)

[187]  arXiv:2107.04479 (cross-list from cs.LG) [pdf, ps, other]

Title: Convergence analysis for gradient flows in the training of artificial neural networks with ReLU activation

Authors: Arnulf Jentzen, Adrian Riekert

Comments: 37 pages

Journal-ref: Journal of Mathematical Analysis and Applications 517, 2 (2023)

Subjects: Machine Learning (cs.LG); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[188]  arXiv:2107.04501 (cross-list from physics.bio-ph) [pdf, other]

Title: NANOG/GATA6 Interactions Revisited: A Statistical Mechanics Approach towards Cell Fate Decisions

Authors: Simon Schardt, Sabine C. Fischer

Subjects: Biological Physics (physics.bio-ph); Dynamical Systems (math.DS); Tissues and Organs (q-bio.TO)

[189]  arXiv:2107.04647 (cross-list from eess.SY) [pdf, other]

Title: Global sensitivity analysis of asymmetric energy harvesters

Authors: João Pedro Norenberg, Americo Cunha Jr, Samuel da Silva, Paulo Sérgio Varoto

Journal-ref: Nonlinear Dynamics (2022)

Subjects: Systems and Control (eess.SY); Computational Engineering, Finance, and Science (cs.CE); Dynamical Systems (math.DS); Classical Physics (physics.class-ph); Applications (stat.AP)

[190]  arXiv:2107.05308 (cross-list from physics.optics) [pdf, other]

Title: Mean path length inside non-scattering refractive objects

Authors: Matt Majic, Walter R. C. Somerville, Eric C. Le Ru

Comments: 12 pages, 10 figures, includes supplementary information

Journal-ref: Phys. Rev. A 103, 2021

Subjects: Optics (physics.optics); Dynamical Systems (math.DS); Data Analysis, Statistics and Probability (physics.data-an)

[191]  arXiv:2107.06025 (cross-list from q-bio.PE) [pdf, other]

Title: Statistics of the number of equilibria in random social dilemma evolutionary games with mutation

Authors: Manh Hong Duong, The Anh Han

Comments: 17 pages

Subjects: Populations and Evolution (q-bio.PE); Dynamical Systems (math.DS); Probability (math.PR)

[192]  arXiv:2107.07380 (cross-list from physics.soc-ph) [pdf, other]

Title: A Linear Dynamical Perspective on Epidemiology: Interplay Between Early COVID-19 Outbreak and Human Mobility

Authors: Shakib Mustavee, Shaurya Agarwal, Chinwendu Enyioha, Suddhasattwa Das

Subjects: Physics and Society (physics.soc-ph); Systems and Control (eess.SY); Dynamical Systems (math.DS)

[193]  arXiv:2107.08259 (cross-list from q-bio.PE) [pdf, other]

Title: Testing and Isolation Efficacy: Insights from a Simple Epidemic Model

Authors: Ali Gharouni, F.M. Abdelmalek, David J. D. Earn, Jonathan Dushoff, Benjamin M. Bolker

Subjects: Populations and Evolution (q-bio.PE); Dynamical Systems (math.DS); Physics and Society (physics.soc-ph)

[194]  arXiv:2107.08467 (cross-list from cs.LG) [pdf, other]

Title: GoTube: Scalable Stochastic Verification of Continuous-Depth Models

Authors: Sophie Gruenbacher, Mathias Lechner, Ramin Hasani, Daniela Rus, Thomas A. Henzinger, Scott Smolka, Radu Grosu

Comments: Accepted to the Thirty-Sixth AAAI Conference on Artificial Intelligence (AAAI-22)

Subjects: Machine Learning (cs.LG); Artificial Intelligence (cs.AI); Neural and Evolutionary Computing (cs.NE); Dynamical Systems (math.DS); Machine Learning (stat.ML)

[195]  arXiv:2107.09344 (cross-list from physics.soc-ph) [pdf, other]

Title: Deviations from the Majority: A Local Flip Model

Authors: Gabor Toth, Serge Galam

Comments: 24 pages, 7 figures, 9 tables

Journal-ref: Chaos, Solitons & Fractals, Volume 159, June 2022, 112130

Subjects: Physics and Society (physics.soc-ph); Dynamical Systems (math.DS)

[196]  arXiv:2107.09360 (cross-list from q-bio.NC) [pdf, ps, other]

Title: A biophysical network model reveals the link between deficient inhibitory cognitive control and major neurotransmitter and neural connectivity hypotheses in schizophrenia

Authors: Konstantinos Spiliotis, Giannis Kahramanoglou, Jens Starke, Nikolaos Smyrnis, Constantinos Siettos

Subjects: Neurons and Cognition (q-bio.NC); Dynamical Systems (math.DS); Numerical Analysis (math.NA)

[197]  arXiv:2107.09623 (cross-list from nlin.CD) [pdf, other]

Title: Bifurcation of dividing surfaces constructed from a pitchfork bifurcation of periodic orbits in a symmetric potential energy surface with a post-transition-state bifurcation

Authors: Matthaios Katsanikas, Makrina Agaoglou, Stephen Wiggins

Comments: 15 pages

Subjects: Chaotic Dynamics (nlin.CD); Dynamical Systems (math.DS); Chemical Physics (physics.chem-ph)

[198]  arXiv:2107.09706 (cross-list from q-bio.MN) [pdf, other]

Title: Fiber decomposition of deterministic reaction networks with applications

Authors: Carsten Wiuf, Chuang Xu

Subjects: Molecular Networks (q-bio.MN); Dynamical Systems (math.DS)

[199]  arXiv:2107.10154 (cross-list from physics.chem-ph) [pdf, other]

Title: Predicting trajectory behaviour via machine-learned invariant manifolds

Authors: Vladimír Krajňák, Shibabrat Naik, Stephen Wiggins

Journal-ref: Chem. Phys. Lett. 789 (2022) 139290

Subjects: Chemical Physics (physics.chem-ph); Machine Learning (cs.LG); Dynamical Systems (math.DS)

[200]  arXiv:2107.10370 (cross-list from cs.LG) [pdf, other]

Title: Analytic Study of Families of Spurious Minima in Two-Layer ReLU Neural Networks: A Tale of Symmetry II

Authors: Yossi Arjevani, Michael Field

Comments: arXiv admin note: text overlap with arXiv:2008.01805

Subjects: Machine Learning (cs.LG); Dynamical Systems (math.DS); Optimization and Control (math.OC)